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27 October, 23:24

The owner of a clothing store buys T-shirts for c dollars each and sells them for p dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a profit of $2,800. This month she bought 400 T-shirts and sold them all and made a profit of $2,400. Which system of equations can be used to determine the values of c and p?

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  1. 27 October, 23:34
    0
    600c - 500p = $2800

    400c - 400p = $2400

    Step-by-step explanation:

    c = t-shirt costs

    p = selling price

    Profit = Cost - selling price

    Last month = 600c - 500p = $2800

    This month = 400c - 400p = $2400
  2. 27 October, 23:50
    0
    500p - 600c = 2800

    400p - 400c = 2400

    Step-by-step explanation:

    Given that the owner of a clothing store buys T-shirts for c dollars each and sells them for p dollars each

    Then the profit or loss made on each T-shirts sold is p - c.

    Last month she bought 600 T-shirts and sold 500 of them and made a profit of $2,800

    This means that

    500p - 600c = 2800

    and

    This month she bought 400 T-shirts and sold them all and made a profit of $2,400 then,

    400p - 400c = 2400

    Thus, the system of equations needed to determine the values of c and p would be

    500p - 600c = 2800

    400p - 400c = 2400
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